To find the range of a set of points representing a function, we list the second components (or \(y\)-values) of each ordered pair. The given points are:
- (3, 7) → \(y = 7\)
- (4, 0) → \(y = 0\)
- (–3, 4) → \(y = 4\)
- (–1, 9) → \(y = 9\)
- (–10, –7) → \(y = -7\)
Now, let's extract the \(y\)-values:
- \(7\)
- \(0\)
- \(4\)
- \(9\)
- \(-7\)
Now, we can list these values in order and identify the minimum and maximum values:
- The minimum \(y\)-value is \(-7\).
- The maximum \(y\)-value is \(9\).
Therefore, the range of the function is:
\[ {-7, 0, 4, 7, 9} \]
So, the range is:
\[-7 \leq y \leq 9\]
Or in interval notation, the range can be represented as:
\[-7 \leq y \leq 9\] or \([-7, 9]\).
In summary, the range of the function is \([-7, 9]\).